Answer:
<em>Correct choices: B, D</em>
Step-by-step explanation:
<u>The Volume of a Rectangular Prism</u>
Given a rectangular prism of dimension W, L, and H, the volume is calculated as:
V = WLH
Each small cube of the figure has a volume of 1 cube centimeter. We need to calculate the volume of each solid and determine which ones have a volume of 36 cube cm.
A: V = 5*3*4 = 60 cube cm
B: V = 3*3*4 = 36 cube cm
C: V = 3*4*2 = 24 cube cm
D: V = 6*2*3 = 36 cube cm
E: V = 2*4*2 = 16 cube cm
Correct choices: B, D
Answer:
Her new monthly payment is now $1,378.91¢
Step-by-step explanation:
For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.
The formula is:-
![M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]](https://tex.z-dn.net/?f=M%20%3D%20P%20%5B%5Cfrac%7Br%281%2Br%29%5E%7Bn%7D%20%7D%7B%281%2Br%29%5E%7Bn%7D-1%7D%5D)
Where M is the monthly mortgage payment.
P is the principal
r is the monthly interest rate calculated by dividing your annual interest rate by 12
n is the number of payments(the number of months you will be paying the loan).
In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12
= 5.17%/2
= 0.431%
This is the new monthly interest rate.
Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.
300 is therefore "n" that is required for the calculation.
All the terms needed for the calculation of her new monthly mortgage is now complete.
P = $231,905.47¢
r = 0.431%
n = 300
![M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]](https://tex.z-dn.net/?f=M%20%3D%20231%2C905.47%5B%5Cfrac%7B0.00431%281%2B0.00431%29%5E%7B300%7D%20%7D%7B%281%2B0.00431%29%5E%7B300%7D%20-1%7D%5D)
![= 231,905.47[\frac{0.00431(3.634)}{2.634}]](https://tex.z-dn.net/?f=%3D%20231%2C905.47%5B%5Cfrac%7B0.00431%283.634%29%7D%7B2.634%7D%5D)
= 231,905.47 × 0.005946
M = $1,378.91¢
Therefore her new monthly mortgage payment will become $1,378.91¢
One way you could solve this is to just multiply the top and bottom out so that you get 9/81, reducing it by 9/9 to get 1/9 or option C.
Another way would be to do

since dividing numbers with exponents would be subtracting the bottom exponent from the top exponent, provided that the base number (in this case 3) is the same for both. For this method, you would get

, which is equal to 1/9 or .1 repeating, the same answer that you'd get with the first method.
Answer:
Option C, 30
Step-by-step explanation:
<u>Step 1: Identify how many people spent $200</u>
There was only 30 people that spent $200
Answer: Option C, 30